Greatest Common Factor of 776/227, 653/606, 744/686

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 776/227, 653/606, 744/686

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 776/227,653/606,744/686

Given fractions are 776/227,653/606,744/686

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 776,653,744

Greatest Common Factor of Numerators i.e. GCF of 776,653,744 is 1 .

LCM of Denominators means LCM of 227,606,686 as per the given fractions.

LCM of 227,606,686 is 47183766 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 776,653,744

GCF of Fractions 776/227,653/606,744/686 is 1/47183766

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 776,653,744 By Matching Biggest Common Factor Method

Greatest Common Factor of 776,653,744 By Matching Biggest Common Factor Method

Factors of 776

List of positive integer factors of 776 that divides 776 without a remainder.

1,2,4,8,97,194,388,776

Factors of 653

List of positive integer factors of 653 that divides 653 without a remainder.

1,653

Factors of 744

List of positive integer factors of 744 that divides 744 without a remainder.

1,2,3,4,6,8,12,24,31,62,93,124,186,248,372,744

Greatest Common Factor

We found the factors 776,653,744 . The biggest common factor number is the GCF number.
So the greatest common factor 776,653,744 is 1.

Lets's calculate LCM of 227,606,686

2 227, 606, 686
227, 303, 343

∴ So the LCM of the given numbers is 2 x 227 x 303 x 343 = 47183766

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/47183766

Therefore, the GCF of Fractions 776/227,653/606,744/686 is 1/47183766

Least Common Multiple of 227,606,686 with GCF Formula

Least Common Multiple of 227,606,686 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 227,606,686 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(227,606,686) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(227,606,686) x common factors =1 x 2 = 2

LCM(227,606,686) = ( 227 × 606 × 686 ) / 2

LCM(227,606,686) = 94367532 / 2

LCM(227,606,686) = 47183766


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 776/227, 653/606, 744/686

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 776/227, 653/606, 744/686?

Answer: GCF of Numerators as per given numbers 776/227, 653/606, 744/686 is

GCF of Numerators i.e. for 776,653,744 is 1

LCM of denominators i.e. for 227,606,686 is 47183766.

Thus, GCF of Fractions is 1/47183766.Finally, GCF of Fractions for 776/227, 653/606, 744/686 is 1/47183766.